Question 1:
Draw the graph of each of the following linear equations in two variables:
(i)x + y = 4
(ii)x – y = 2
(iii)y = 3x
(iv) 3 = 2x + y
Solution 1:
(i)x + y = 4
Given : Linear Equation
x + y = 4 ⇒ y = 4 – x ------------------Equation (1)
By substituting the different values of x in the Equation (1) we get different values for y
When x = 0 , we have : y = 4 – 0 = 4
When x = 2, we have : y = 4 – 2 = 2
When x = 4, we have : y = 4 – 4 = 0
Thus, we have the following table with all the obtained solutions:

(ii)x – y = 2
Given : Linear Equation
x - y = 2 ⇒ y = x – 2 ------------------Equation (1)
By substituting the different values of x in the Equation (1) we get different values for y
When x = 0 , we have y = 0 – 2 = – 2
When x = 2, we have y = 2 – 2 = 0
When x = 4, we have y = 4 – 2 = 2
Thus, we have the following table with all the obtained solutions:











